Category:Basic facts in group theory

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This is a category (or supercategory) listing a broad class of facts/results/theorems

This page lists some basic facts in group theory, along with proofs. Many of these facts can also be found as lemmas, claims, informal explanations, side-notes, and riders in introductory texts of group theory.

Here, each article contains a full self-contained proof of the fact it documents.

If you are looking for proofs of elementary riders/exercises involving group theory, please check at:

Category: Elementary non-basic facts in group theory

If you're looking for something that seems trivial or obvious, you should be looking at:

Category:Results with direct proofs